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Mathematical calculation:
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    Current location:Mathematical operation > History of Mathematical Computation > Answer
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 3/(1+5%)+3*(1+1%)/(1+5%)^2+3*(1+1%)^2/(1+5%)^3 .
    Question type: Mathematical calculation
    Solution:
          3/(1+5%)+3*(1+1%)/(1+5%)^2+3*(1+1%)^2/(1+5%)^3
        =3/1.05+3*(1+1%)/(1+5%)^2+3*(1+1%)^2/(1+5%)^3
        =3/1.05+3*1.01/(1+5%)^2+3*(1+1%)^2/(1+5%)^3
        =3/1.05+3*1.01/1.05^2+3*(1+1%)^2/(1+5%)^3
        =3/1.05+3*1.01/1.05^2+3*1.01^2/(1+5%)^3
        =3/1.05+3*1.01/1.05^2+3*1.01^2/1.05^3
        =3/1.05+3*1.01/1.1025+3*1.01^2/1.05^3
        =3/1.05+3*1.01/1.1025+3*1.0201/1.05^3
        =3/1.05+3*1.01/1.1025+3*1.0201/1.157625
        =2.857143+3*1.01/1.1025+3*1.0201/1.157625
        =2.857143+3.03/1.1025+3*1.0201/1.157625
        =2.857143+2.748299+3*1.0201/1.157625
        =2.857143+2.748299+3.0603/1.157625
        =2.857143+2.748299+2.643602
        =5.605442+2.643602
        =8.249044

    Answer:3/(1+5%)+3*(1+1%)/(1+5%)^2+3*(1+1%)^2/(1+5%)^3=8.249044


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